What is the axis x=3y^2-30y+77 ?

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

axis x=3y^2-30y+77

axis

x = 3 y^{2} - 30 y + 77

y = 5

Solution steps

x = 3 y^{2} - 30 y + 77

Rewrite

x = 3 y^{2} - 30 y + 77

in the standard form

4 \cdot \frac{1}{12} (x - 2) = (y - 5)^{2}

Therefore parabola properties are:

(h, k) = (2, 5), p = \frac{1}{12}

Parabola is of the form

4 p (x - h) = (y - k)^{2}

and is symmetric around the

x

-axis

Axis of symmetry is a line parallel to the

x

-axis which intersects the vertex:

y = 5

y = (x - 6)^{2} - 9

y^{2} - 12 x + 8 y + 88 = 0

y = + x^{2} - 7

y = \frac{1}{4} x^{2} - 3

2 x - y^{2} = 0